Integral between 0 and infty of {1- (1/pi) [arctan(4/x)-arctan(-4/x)] } *(1/x) dx? - MathOverflow [closed]most recent 30 from http://mathoverflow.net2013-05-25T21:21:01Zhttp://mathoverflow.net/feeds/question/60354http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/60354/integral-between-0-and-infty-of-1-1-pi-arctan4-x-arctan-4-x-1-x-dxIntegral between 0 and infty of {1- (1/pi) [arctan(4/x)-arctan(-4/x)] } *(1/x) dx?Payze2011-04-02T11:41:54Z2011-04-02T11:41:54Z
<p>Hello,</p>
<p>I would need to calculate the integral between 0 and +infty of {1- (1/pi) [arctan(4/x)-arctan(-4/x)]}*(1/x) dx. </p>
<p>Could you please let me know how to do that and what's the correct answer?</p>
<p>Thanks loads in advance for your help;</p>
<p>All the best,
Elise </p>